Elementary Introduction to the Theory of Pseudodifferential Operators
Elementary Introduction to the Theory of Pseudodifferential Operators
复制标题
DOI：
10.1201/9780203758540
复制
发表时间：
2018-02
期刊：
影响因子：
--
通讯作者：
X. S. Raymond
中科院分区：
文献类型：
--
作者：
X. S. Raymond
傅立叶变换和Sobolev空间：介绍。在Rn中的函数傅里叶变换和Rn中的分布。Sobolev空间演习Notes.伪微分符号：介绍。符号的定义和近似。氧化积分符号上的操作。演习伪微分算子在S和S '中的作用在Sobolev空间中的作用。变量变化下的不变性。演习Notes.应用：导言。线性微分算子的局部可解性。偏微分方程解的波阵面集。波动方程的柯西问题。演习Notes.符号索引。参考资料。
Fourier Transformation and Sobolev Spaces: Introduction. Functions in Rn. Fourier Transformation and Distributions in Rn. Sobolev Spaces. Exercises. Notes. Pseudodifferential Symbols: Introduction. Definition and Approximation of Symbols. Oxcillatory Integrals. Operations on Symbols. Exercises. Pseudodifferential Operators: Action in S and S'. Action in Sobolev Spaces. Invariance Under a Change of Variables. Exercises. Notes. Applications: Introduction. Local Solvability of Linear Differential Operators. Wave Front Sets of Solutions of Partial Differential Equations. The Cauchy Problem for the Wave Equation. Exercises. Notes. Index of Notations. References.